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  • Question 1
    4 / -1

    Let C be the curve y3 − 3xy + 2 = 0. If H is the set of points on the curve C where the tangent is horizontal and V is the set of points where the tangent is vertical, then H and V are respectively given by :

  • Question 2
    4 / -1

    Tangent at a point P1, (other tan (0, 0)) on the curve y = x3 meets the curve again at P2. The tangent at P2 meets the curve at P3 and so on. Then the abscissa of P1, P2,P3, …. are in :

  • Question 3
    4 / -1

    If the normal to the curve x2/3 + y2/3 = a2/3 makes an angle φ with the x−axis, then its equation is :

  • Question 4
    4 / -1

  • Question 5
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  • Question 6
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  • Question 7
    4 / -1

  • Question 8
    4 / -1

    If f’(x)= g(x) (x − a)2, where g(a) ≠ 0 and g is continuous at x = a, then : f\'(x)

  • Question 9
    4 / -1

    The function f(x) defined by f(x) = (x + 2) e−x is :

  • Question 10
    4 / -1

    The angle between tangents to the curves y = x2 and x = y2 at (1, 1) is :

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